Pith Number

pith:UD66N5A7

pith:2007:UD66N5A77GGER4WR6WLLZ44CM3

not attested not anchored not stored refs pending

Whitehead double and Milnor invariants

Akira Yasuhara, Jean-Baptiste Meilhan

arxiv:0704.3093 v2 · 2007-04-23 · math.GT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UD66N5A77GGER4WR6WLLZ44CM3}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T04:01:13.555654Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a0fde6f41ff98c48f2d1f596bcf38266d3f3f14b39d4ba1525bb5a28e58395e0

Aliases

arxiv: 0704.3093 · arxiv_version: 0704.3093v2 · doi: 10.48550/arxiv.0704.3093 · pith_short_12: UD66N5A77GGE · pith_short_16: UD66N5A77GGER4WR · pith_short_8: UD66N5A7

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/UD66N5A77GGER4WR6WLLZ44CM3 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: a0fde6f41ff98c48f2d1f596bcf38266d3f3f14b39d4ba1525bb5a28e58395e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1e99a4ac38875dba7f64730b209d9a5ad50b57e139863ce1d34b9f8a4e1ba81",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2007-04-23T21:24:47Z",
    "title_canon_sha256": "02e987361260763bf207accafa6722d039758fdf0204cb5031efe71724880f08"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0704.3093",
    "kind": "arxiv",
    "version": 2
  }
}